Differentiating Inverse Trigonometric Functions
AP Calculus AB · Flashcards · Application
AP CALCULUS AB · FLASHCARDS
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QUESTION
Determine the derivative of
y
=
arcsin
(
sin
(
x
)
)
y = \text{arcsin}(\text{sin}(x))
y
=
arcsin
(
sin
(
x
))
.
QUESTION
Find the derivative of
y
=
arccot
(
1
x
)
y = \text{arccot}(\frac{1}{x})
y
=
arccot
(
x
1
)
at
x
=
1
x = 1
x
=
1
.
QUESTION
Evaluate the derivative of
arccot
(
x
)
\text{arccot}(x)
arccot
(
x
)
at
x
=
1
x = 1
x
=
1
.
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ANSWER
−
1
2
-\frac{1}{2}
−
2
1
. Substitute
x
=
1
x = 1
x
=
1
into
−
1
1
+
x
2
-\frac{1}{1+x^2}
−
1
+
x
2
1
formula.
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